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UN Sustainable Development : Life below water ✕Researcher : Ercan ÇELİK ✕
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Prof. Dr. Ercan ÇELİKFen Fakültesi
Life below waterConserve and sustainably use the oceans, seas and marine resources for sustainable development
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Solitary wave solutions to some nonlinear conformable partial differential equations

Ercan ÇELİK

Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being developed and researched. The conformable time-fractional gives the full history of this function, which is the advantage of using fractional calculus to solve physical problems. In this study, the conformable time-fractional extended (2  1)-dimensional quantum Zakharov-Kuznetsov and the time-fractional modified Korteweg-de Vries equations are investigated by using the the modified exp (−Ω(ξ))-expansion function approach. Some new prototype ...More

Article 2023 Fen Fakültesi Optical and Quantum Electronics55 ( 8 ) 23 Views
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On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Ercan ÇELİK

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions. Keywords: the sine-gordon expansion technique; the modified exp -expansion function technique; conformable derivative, non-linear schrödinger equation (NL ...More

Article 2023 Fen Fakültesi Gazi University Journal of Science36 ( 2 ) 35 Views
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On the new hyperbolic wave solutions to Wu-Zhang system models

Ercan ÇELİK

In this study, some solitary wave solutions of the Wu-Zhang system are analyzed using the modified expansion function method and the sine-Gordon expansion method. Solitary wave solutions of this non-linear mathematical model consisting of hyperbolic and trigonometric function structures are get. Two and three dimensional, density graphics of the solitary solutions of the mathematical models are drawn by choosing the appropriate parameters. It was seen that all solution functions found as a result provide the mathematical model. In this study, Wolfram Mathematica software program was used for a ...More

Article 2022 Fen Fakültesi Optical and Quantum Electronics54 ( 5 ) 123 Views
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Complex solutions to the higher-order nonlinear boussinesq type wave equation transform

Ercan ÇELİK

The higher-order nonlinear Boussinesq type wave equation describes the propagation of small amplitude long capillary-gravity waves on the surface of shallow water. Mathematical physics, shallow water waves, fluid dynamics, and fluid movement are all examples of this model. To acquire exact solutions in the form of solitary wave and complex functions solutions, we use the (m 1/G')-expansion method. These results aid mathematicians and physicians in comprehending the model's physical phenomena. This approach may be employed on different models in order to generate whole new solutions for nonline ...More

Article 2022 Fen Fakültesi Ricerche di Matematica ( Published online: 06 May 2022 ) 42 Views
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